A Meshfree Quasi-Interpolation Method for Solving Burgers’ Equation

Table 4

Comparison of results at different time for 𝜆=0.1 with ℎ=0.025 and 𝜏=0.0001.

𝑥	𝑡	Hassanien [44]	Kutluay [11]	Ozis [15]	Our method	Exact
0.25	0.4	0.3089	0.3083	0.3143	0.3089	0.3089
	0.6	0.2407	0.2404	0.2437	0.2407	0.2407
	0.8	0.1957	0.1954	0.1976	0.1957	0.1957
	1.0	0.1626	0.1624	0.1639	0.1626	0.1626
	3.0	0.0272	0.0272	0.0274	0.0272	0.0272
0.50	0.4	0.5696	0.5691	0.5764	0.5696	0.5696
	0.6	0.4472	0.4468	0.4517	0.4472	0.4472
	0.8	0.3592	0.3589	0.3625	0.3592	0.3592
	1.0	0.2919	0.2916	0.2944	0.2919	0.2919
	3.0	0.0402	0.0402	0.0406	0.0402	0.0402
0.75	0.4	0.6254	0.6256	0.6259	0.6257	0.6254
	0.6	0.4872	0.4570	0.4903	0.4872	0.4872
	0.8	0.3739	0.3737	0.3771	0.3739	0.3739
	1.0	0.2875	0.2872	0.2902	0.2875	0.2875
	3.0	0.0298	0.0297	0.0133	0.0298	0.0298